The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 1 0 1 X 1 0 1 1 1 1 0 1 1 1 X 0 1 0 1 1 X 0 X 1 1 1 X 1 1 1 0 X 0 0 1 X 0 1 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 X X+1 1 0 1 X+1 X+1 1 0 1 X 1 0 X+1 X+1 0 1 X+1 X 1 1 1 0 1 X+1 X 1 1 1 0 X+1 1 1 1 X+1 X+1 1 1 X X X 1 1 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X 0 X 0 X X 0 X X 0 0 0 X X 0 X X 0 0 X X X 0 X 0 X 0 X 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X X 0 0 0 0 X X 0 X 0 X 0 X 0 0 X X 0 0 0 X X X X X 0 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X X X 0 X 0 X X 0 X 0 X 0 X X X 0 X 0 0 0 X 0 X 0 X X 0 X X 0 0 0 X 0 0 0 X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X 0 0 0 X X X X 0 0 X X X X X X X 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X 0 0 0 X X 0 X 0 X X X 0 0 0 0 X 0 0 X X X X X X 0 X X X X X 0 X X 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X X X X 0 X 0 0 X 0 0 X 0 X X 0 0 X X 0 0 X X 0 X 0 0 X X 0 X 0 X 0 X X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X X X X X X X X X X 0 X X 0 0 X X X X X X X X X X 0 0 X 0 0 0 X X 0 0 X X 0 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X X 0 X X 0 0 X X 0 0 X 0 X X 0 X X X X 0 X 0 0 0 X X X 0 0 0 0 X X 0 X 0 0 0 0 0 X generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+36x^46+6x^47+100x^48+68x^49+154x^50+154x^51+182x^52+206x^53+216x^54+270x^55+249x^56+304x^57+247x^58+316x^59+230x^60+308x^61+205x^62+218x^63+154x^64+124x^65+96x^66+58x^67+74x^68+14x^69+50x^70+2x^71+23x^72+15x^74+10x^76+5x^78+1x^80 The gray image is a linear code over GF(2) with n=116, k=12 and d=46. This code was found by Heurico 1.16 in 2.6 seconds.